Write as a Vector Equality a+2b+4d=6 , a+b+2d=3

Problem

{[a+2*b+4*d=6],[a+b+2*d=3])

Solution

1. Identify the variables and their coefficients in the system of linear equations. The variables are a b and d

2. Extract the coefficients of each variable to form column vectors. For a the coefficients are 1 and 1 For b the coefficients are 2 and 1 For d the coefficients are 4 and 2

3. Extract the constants from the right-hand side of the equations to form the resultant vector, which is 6 and 3

4. Construct the vector equality by multiplying each variable by its corresponding coefficient vector and setting their sum equal to the constant vector.

Final Answer

a*[[1],[1]]+b*[[2],[1]]+d*[[4],[2]]=[[6],[3]]

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